Details

Time bar (total: 1.7s)

sample51.0ms

Algorithm
intervals
Results
34.0ms620×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
01829
15327
215326
341426
4104726
5267226
done500026

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
0.1b
(* (* a a) (- 1.0 a))
0.3b
(pow (+ (* a a) (* b b)) 2.0)
0.7b
(* (* b b) (+ 3.0 a))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt *-un-lft-identity
22×add-cube-cbrt
18×prod-diff
15×pow1 add-exp-log
14×add-cbrt-cube
13×distribute-rgt-in distribute-lft-in
associate-*r*
fma-def
unpow-prod-down pow-prod-down prod-exp cbrt-unprod add-log-exp
expm1-log1p-u associate-*r/ log1p-expm1-u
pow-unpow
sub-neg associate-+r+ flip3-+ associate-*l* *-commutative flip-+ unswap-sqr sqr-pow
+-commutative pow-to-exp flip3-- pow-pow pow-exp sum-log flip-- distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
4 → 114
Calls
4 calls:
28.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
16.0ms
(* (* a a) (- 1.0 a))
4.0ms
(pow (+ (* a a) (* b b)) 2.0)
14.0ms
(* (* b b) (+ 3.0 a))

series315.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(+ (pow (+ (* a a) (* b b)) 2.0) (* 4.0 (+ (* (* a a) (- 1.0 a)) (* (* b b) (+ 3.0 a)))))
57.0ms
(* (* a a) (- 1.0 a))
107.0ms
(pow (+ (* a a) (* b b)) 2.0)
39.0ms
(* (* b b) (+ 3.0 a))

simplify49.0ms

Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
02352118